Tutorial Sheet No. 4 (Time domain analysis) Q.5/ For the system shown in Figure 3, do the following: a. Find the transfer function G(s) = X(s)/F(s). b. Find 5, wn, %OS, Ts, Tp, and T,. 28 N/m x(t) 5 kg f(1) 5 N-s/m Figure 3 Q.6/ For the system shown in Figure 4, a step torque is applied at 01(t). Find a. The transfer function, G(s) = 02(8)/T(s). b. The percent overshoot, settling time, and peak time for 02(t). [Section: 4.6] T(t) 0(1) 02(1) ff HE 1.07 kg-m2 1.53 N-m-s/rad 1.92 N-m/rad Figure 4 0.7/ Write the general form of the transfer function G(s) = C(s)/V(s) for the electrical network shown in Figure 5, where V(s) is input voltage of the network and C(s) is the output voltage of capacitor. R = 10 k v(t) = u(1) R2 = 10 kQ L = 200 H C = 10 µF Figure 5 0.8/ For each of the unit step responses shown in Figure 6, find the transfer function of the system.

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Tutorial Sheet No. 4 (Time domain analysis)
Q.5/ For the system shown in Figure 3, do the following:
a. Find the transfer function G(s) = X(s)/F(s).
b. Find 5, wn, %OS, Ts, Tp, and T,.
28 N/m
x(t)
5 kg
f(1)
5 N-s/m
Figure 3
0.6/ For the system shown in Figure 4, a step torque is applied at 0,(t). Find
a. The transfer function, G(s) = 02(s)/T(s).
b. The percent overshoot, settling time, and peak
time for 02(1). [Section: 4.6]
T(t) 0,(1)
0 2(1)
ff
1.07 kg-m2
1.53 N-m-s/rad
1.92 N-m/rad
Figure 4
C(s)/V(s) for the
0.7/ Write the general form of the transfer function G(s)
electrical network shown in Figure 5, where V(s) is input voltage of the
network and C(s) is the output voltage of capacitor.
%D
R = 10 k2
v(t) = u(t)
R2 = 10 kN
L= 200 H
C = 10 µF
Figure 5
0.8/ For each of the unit step responses shown in Figure 6, find the transfer
function of the system.
Transcribed Image Text:Tutorial Sheet No. 4 (Time domain analysis) Q.5/ For the system shown in Figure 3, do the following: a. Find the transfer function G(s) = X(s)/F(s). b. Find 5, wn, %OS, Ts, Tp, and T,. 28 N/m x(t) 5 kg f(1) 5 N-s/m Figure 3 0.6/ For the system shown in Figure 4, a step torque is applied at 0,(t). Find a. The transfer function, G(s) = 02(s)/T(s). b. The percent overshoot, settling time, and peak time for 02(1). [Section: 4.6] T(t) 0,(1) 0 2(1) ff 1.07 kg-m2 1.53 N-m-s/rad 1.92 N-m/rad Figure 4 C(s)/V(s) for the 0.7/ Write the general form of the transfer function G(s) electrical network shown in Figure 5, where V(s) is input voltage of the network and C(s) is the output voltage of capacitor. %D R = 10 k2 v(t) = u(t) R2 = 10 kN L= 200 H C = 10 µF Figure 5 0.8/ For each of the unit step responses shown in Figure 6, find the transfer function of the system.
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